Symbolic Field Theory v4.0: Synthetic Verification with Alpha Framework 4.0

This repository provides the Python implementation and supporting materials for the synthetic verification of Symbolic Field Theory (SFT) v4.0. The included code (sft4verify.py) simulates symbolic fields on a lattice using the Alpha Framework 4.0 environment, applying the updated collapse predicate (OR-clause form) and the corrected export tensor with Recursive Coupling Index (RCI) damping. Outputs include time-series logs of symbolic efficiency ($ψ_{\text{eff}}$) and collapse area, with heuristic validation confirming non-decreasing efficiency and non-increasing collapse regions across runs. This release is intended for researchers and practitioners exploring entropy–symbolic dynamics, recursive collapse modeling, and synthetic agent-based validation of symbolic field theories.